Your boss claims that for pipe flow the flow rate, \(Q \propto \sqrt{\Delta p}\), where \(\Delta p\) is the pressure difference driving the flow. You dispute this, so perform some calculations. You take a 1-in.-diameter commercial steel pipe and assume an initial flow rate of \(1.25 \mathrm{gal} / \mathrm{min}\) of water. You then increase the applied pressure in equal increments and compute the new flow rates so you can plot \(Q\) versus \(\Delta p\), as computed by you and your boss. Plot the two curves on the same graph. Was your boss right?